Students will measure their heights as they enter the room. Girls and Boys heights will be separated in order to make a comparison. Students will be asked to make comparisons from the measurements. Ms Allan will construct the box plots and ask students to make statements using statistical language. How does the box plot help us to see the story behind the data?
Ms Allan will construct the Box Plot on the white board using the end of term algebra test scores. This may help students understand that each dot represents a students score, and help them see how they compare with their peers.
Language:
Extra for Experts Jake Wills Making the Call
Year 10 Learning Workbook Pages: Green part of 268 and whole of 269 Box and Whisker Graphs
Year 9 Learning Workbook Pages: 247, 248 and 249 Chapter 15: Statistical Investigations
Students will find out their words per minute: Typing Test - One Minute Together we will create Box Plots on the Board, one per teaching class. The photo will be shared here at the end of the day. Also Data is entered in This Google Form. Data Collected.
Free PDF Booklets - Will go on google classroom. (Liz Sneddon)
Extra Resources From NZMaths:
Lesson 4: Terminology
Lesson 8: Averages
Year 10 Learning Workbook Pages: 270 and 271 Box and Whisker Graphs
Year 9 Learning Workbook Pages: 250 and 251 of Chapter 15: Statistical Investigations
Year 10 Learning Workbook Pages: 272 and 273 Box and Whisker Graphs
Year 9 Learning Workbook Pages: 252 and 253 of Chapter 15: Statistical Investigations
Sampling Variation.
When we collect data from some of the population we are sampling. The larger the sample size the more reliable it is.
Dr Dalrymple reminds teachers about the best ways to teach sampling variation, comparing two groups and making the call from samples to populations.
Chris Wild Annimations can help us talk about sampling variation. We need to understand sampling variation when comparing samples so we do not make false conclusions.
You can work in groups of any size you like.
Option One: Uni-variate (One Variable)
Use the PPDAC cycle to collect data, draw one box plot and make observations
Option Two: Multi-variate (Comparing two groups)
Use the PPDAC cycle to collect data, draw box plots and compare two groups.
For example:
Problem: Did girls in this class tend to spend more time studying for the algebra test than the boys in this class?
Plan: We will ask all the student at school today how many hours they studied at home for the Algebra test at the end of last term.
Data: We will write down the number of study hours and the gender of each student.
Analysis: We will create two box plots, one for the boys and one for the girls, the scale will be in hours.
Conclusion: We will observe the two boxes and decide which group, boys or girls, tended to spend the most time studying.
https://students.mathsnz.com/9.10/9.10_9_6.html (Self marking PPDAC check)
https://students.mathsnz.com/9.10/9.10_9_7.html (Exemplars you can use to help)
https://students.mathsnz.com/nzgrapher/nzgrapher_c.html (Has information about the data sets in NZGrapher)
Language to use:
Middle 50% (the box)
Upper quartile
Lower quartile
Median
Highest & Lowest
Year 10 Learning Workbook Pages: 274 and 275 Box and Whisker Graphs
Year 9 Learning Workbook Pages: 254 and 255 of Chapter 15: Statistical Investigations
Complete your group posters
Learning workbook number pages
Learning workbook statistics pages
Extra For Experts
Maths NZ Lesson 9: Comparison Investigations
Week One Learning Workbook pages should be completed:
Year 10 Learning Workbook 8 Pages: 268, 269, 270, 271, 272, 273, 274 and 275 Box and Whisker Graphs
Year 9 Learning Workbook 9 Pages: 247, 248, 249, 250, 251, 252, 253, 254 and 255 All of Chapter 15: Statistical Investigations
Week Two Learning Workbook pages should be completed:
Year 10 Learning Workbook 8 Pages: Scatter Graphs page 264, 254, 266 PPDAC pages 241, 242, 243, 244 and 245
Year 9 Learning Workbook 8 Pages: 257, 258, 259, 260, 261, 262, 263, 264 Chapter 16 Displaying Data
Learning Habits needed to investigate statistics
Strive - doing homework, staying on task, completing tasks
Connect - working in groups to collect and investigate data
Respect - listening to the teacher, asking sensible questions
Reflect - write up your reflection each week on your website
Create - the PPDAC cycle allows you to investigate a topic of your interest and to present it in any format. Each week you will create a statistical report.
Transum Scatter Introduction LWB Pages 264 (start from scatter graphs), 265 and 266.
We will collect data about the number of people and the number of pets each student has in their home/s. Google Form and Data.
Problem: I wonder if there is a relationship between the number of people and the number of pets in the homes of students in this class. I think the more people there are, the more pets there will be, because everyone wants their own pet.
Plan: We will collect data using a google form, asking students for the number of people and pets that they live with.
Data: Will be created by the google form. Google Form and Data.
Analysis: We will use NZGrapher to plot the scatter graph. This will allow us to view the potential relationship.
Conclusion: We will claim there is, or is not, a relationship between the number of people and pets in a household.
We will repeat the typing test collecting data in the correct format to investigate the relationships between the first and last and best words per minutes. Google Form. Data.
At the back of the classroom we will collect the height and armspan of students in all four classes. The scatter graph will be created at the same time the data is collected. What do you expect the scatter plot to look like? Google Form and Data
Digital Activities: Transum Scatter Plot Activity and BBC Bitesize Icecreams and That Quiz
Continue working on this weeks learning workbook pages:
Year 10 LWB Pages 264, 254, 266, 241, 242, 243, 244, 245
Year 9 LWB Pages: 257, 258, 259, 260, 261, 262, 263, 264
Just like last week, you will collect your own data (or explore data sets in NZGrapher, or use the data we collect together today) and create a PPDAC poster about the students in your class. Please check with Ms Allan before you start collecting your data to make sure it will work. Work in groups of 2 to 5 people and make posters for the wall. If you use NZGrapher data you can make a powerpoint and present it as a group to the class. Presentations will happen in week four.
Example Student Website - remember to reflect on your learning each week.
Continue working on this weeks learning workbook pages:
Year 10 LWB Pages 264, 254, 266, 241, 242, 243, 244, 245
Year 9 LWB Pages: 257, 258, 259, 260, 261, 262, 263, 264
Extra for Experts and students who prefer this to the LWB. Place screenshots on your website.
MathsNZ Lesson 7: Bivariate Investigations
Week Three Learning Workbook pages should be completed:
Year 10 Learning Workbook 8 Pages: Time Series Graphs page 266, 267 and 268 Also pages 246, 247, 248, 249, 250
Year 9 Learning Workbook 8 Pages: Chapter 16 Displaying Data: 265, 266, 267, 268 Chapter 17 Measures 269, 270, 271, 272.
Example Student Website has some examples of what reflections look like.
Workbook pages 266, 267 and 268.
In weeks one and two we collected our own data, this week, with the focus on time series we will investigate google trends. You have 15mins to take a look at google trends, and share with your group. Groups will select a representative to share with the class what they found interesting.
The second half of the lesson will be spent on the learning workbooks.
You can embed a google trend graph that interests you. Use the insert tab, <> Embed option. Simply cut and paste the code provided from Google Trends. I recall the fidget Spinner craze last year, so decided to see what the Google Trend Graph looked like. This could have helped importers know when the craze was over.
Extra for Experts:
Maths NZ Lesson 10: Time Series Investigations
Wednesday, Thursday and Friday of Week 3.
Working through the learning workbook pages.
Getting the websites up to date.
Watching the OSEM Video.
Wk 1 Year 10 Learning Workbook: 8 Pages: 268, 269, 270, 271, 272, 273, 274 and 275 Box and Whisker Graphs
Wk 2 Year 10 Learning Workbook: 8 Pages: Scatter Graphs page 264, 254, 266 PPDAC pages 241, 242, 243, 244 and 245
Wk 3 Year 10 Learning Workbook: 8 Pages: Time Series Graphs page 266, 267 and 268 Also pages 246, 247, 248, 249, 250
Wk 4 Year 10 Learning Workbook :10 Pages: 276, 277, 278, 279, 251, 252, 253, 254, 255, 256
Wk 5 Year 10 Learning Workbook: 10 Pages: 257, 258, 259, 260, 261, 262, 263, 264, 265, 266
Remember the expectation of 20 minutes homework 4 times a week, I understand some students will struggle to complete all the pages in the suggested time frame. Of course, if you do complete all the pages you will find next year much easier.
Wk 1 Year 9 Learning Workbook : 9 Pages: 247, 248, 249, 250, 251, 252, 253, 254 and 255 All of Chapter 15
Wk 2 Year 9 Learning Workbook: 8 Pages: 257, 258, 259, 260, 261, 262, 263, 264 Chapter 16 Displaying Data
Wk 3 Year 9 Learning Workbook: 8 Pages: Chapter 16 265, 266, 267, 268 Chapter 17 Measures 269, 270, 271, 272.
Wk 4 Year 9 Learning Workbook: 6 Pages: 273, 274, 275. Catch up and complete all of chapters 15, 16 and 17.
Wk 5 Use your learning workbook as a reference for the project. Note it does not have time series or Box Plots.
Data Types: Categorical (not numbers) or Numerical: Discrete (Counting Numbers) or Continuous (Decimals, Measurement).
10mm had the lowest level of respect over the three classes. This student voice matches teacher observations. Steps are being taken to increase the level of respect in this class.
It is important to note that if the entire class had filled in the form the results could have been quite different.
That Quiz (Change the settings to test yourself).
Maths NZ Extra for Experts:
Lesson 1: Introduction to the PPDAC Cycle
Lesson 2: PPDAC Cycle 1 - Eye Colour